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Finding the Third Proportional to 10,788.75 and 14,497.88

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Solution

The third proportional to 10,788.75 and 14,497.88 is: 19,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.75 : 14,497.88 = 14,497.88 : x
  2. Step 2: Convert to fraction form
    10,788.75/14,497.88 = 14,497.88/x
  3. Step 3: Cross multiply
    10,788.75x = 14,497.88 × 14,497.88
  4. Step 4: Simplify right side
    10,788.75x = 210,188,379.52
  5. Step 5: Solve for x
    x = 210,188,379.52/10,788.75
  6. Step 6: Final answer
    x = 19,482.18

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.